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132258816 = 21032113127
BaseRepresentation
bin1111110001000…
…01110000000000
3100012212102222200
413320201300000
5232324240231
621042433200
73164116134
oct770416000
9305772880
10132258816
1168725008
1238362800
1321529971
14137cb3c4
15b927be6
hex7e21c00

132258816 has 132 divisors (see below), whose sum is σ = 388307712. Its totient is φ = 43352064.

The previous prime is 132258773. The next prime is 132258839. The reversal of 132258816 is 618852231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041345 + ... + 1041471.

Almost surely, 2132258816 is an apocalyptic number.

132258816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153856).

132258816 is an abundant number, since it is smaller than the sum of its proper divisors (256048896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132258816 is a wasteful number, since it uses less digits than its factorization.

132258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 132258816 is about 11500.3832979601. The cubic root of 132258816 is about 509.4968971745.

The spelling of 132258816 in words is "one hundred thirty-two million, two hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 127 128 144 192 226 254 256 288 339 381 384 452 508 512 576 678 762 768 904 1016 1017 1024 1143 1152 1356 1524 1536 1808 2032 2034 2286 2304 2712 3048 3072 3616 4064 4068 4572 4608 5424 6096 7232 8128 8136 9144 9216 10848 12192 14351 14464 16256 16272 18288 21696 24384 28702 28928 32512 32544 36576 43053 43392 48768 57404 57856 65024 65088 73152 86106 86784 97536 114808 115712 129159 130048 130176 146304 172212 173568 195072 229616 258318 260352 292608 344424 347136 390144 459232 516636 520704 585216 688848 918464 1033272 1041408 1170432 1377696 1836928 2066544 2755392 3673856 4133088 5510784 7347712 8266176 11021568 14695424 16532352 22043136 33064704 44086272 66129408 132258816